矩阵分解的多变量模型参考自适应控制

Multivariable model reference adaptive control using matrix factorization

研究了基于高频增益矩阵分解的多变量模型参考自适应控制 .为此首先基于矩阵分解构造出新的参数化方程 ,选取必然等价自适应控制律 .然后 ,引入规范化信号和类Lyapunov函数 ,获得了规范化自适应律 .并进一步给出了虚拟规范化信号的有用性质 .最后 。

Multivariable model reference adaptive control using high frequency gain matrix factorization is studied.First,a new type of parameterization equation is constructed based on matrix factorization and the certainty-equivalence adaptive control law is chosen.Then,by introducing the normalizing signal and Lyapnov-like function,the adaptive laws with normalization are derived.Third,some useful properties of fictitious normalizing signal are proposed.Finally,the stability and convergence analysis of the closed-loop system is provided.